6 Identify the domain and range of each. Then sketch the graph. a y = tan ¹(3x) y 3.1 TC T 2 -6-5-4-3-2-1 O EN E 2 31 by = cos ¹(x) - 2 1 2 3 4 5 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Answer 6a,6b,and 8

6 Identify the domain and range of each. Then sketch the graph.
a y = tan ¹(3x)
УА
3π
2
R
EN
-6-5-4-3-2-1
2
୦ ୧୯
2
-TC
3π
by = cos ¹(x) — 2
1
2
3
4
5
X
Transcribed Image Text:6 Identify the domain and range of each. Then sketch the graph. a y = tan ¹(3x) УА 3π 2 R EN -6-5-4-3-2-1 2 ୦ ୧୯ 2 -TC 3π by = cos ¹(x) — 2 1 2 3 4 5 X
7 The function f(x) = 2 sin x + 3 is defined for the domain
Find the range of f.
Find f¯¹
8
9
a
b
(x).
The function f(x) = 4
The function f(x) = 5
—
VI
VI
a
Find the largest value of p for which f has an inverse.
b For this value of p, find f¹(x) and state the domain of f¹.
<
FIN
3 cos x is defined for the domain 0 < x < . Find the range of f.
ㅠ
2 sin x is defined for the domain < x <p.
Transcribed Image Text:7 The function f(x) = 2 sin x + 3 is defined for the domain Find the range of f. Find f¯¹ 8 9 a b (x). The function f(x) = 4 The function f(x) = 5 — VI VI a Find the largest value of p for which f has an inverse. b For this value of p, find f¹(x) and state the domain of f¹. < FIN 3 cos x is defined for the domain 0 < x < . Find the range of f. ㅠ 2 sin x is defined for the domain < x <p.
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